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Are Valuations on algebraic extensions of an henselian field unique?

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#abstract-algebra #field-theory #algebraic-number-theory #extension-field #valuation-theory
577
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Units in a discrete valuation ring.

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#abstract-algebra #algebraic-geometry #commutative-algebra #ideals #valuation-theory
443
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Proving that "Giving a DVR with quotient field K is equivalent to defining an order function on K"

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #valuation-theory
201
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Complete valuation, norm of finite extension. Proof of Propositon.

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#field-theory #extension-field #valuation-theory #local-field
544
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good reference for studying valuation theory (algebra)

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#abstract-algebra #reference-request #valuation-theory
200
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Valuation ring, of infinite global dimension, with principal maximal ideal

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#commutative-algebra #homological-algebra #valuation-theory #global-dimension
181
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Valuation of a number field element over a prime ideal in an order

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#algebraic-geometry #algebraic-number-theory #valuation-theory #class-field-theory
145
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Fraction field of $A[[t]]$

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#ring-theory #commutative-algebra #power-series #valuation-theory
135
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Bound for roots of a polynomial with coefficients in a non-Archimedean valued field

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#polynomials #reference-request #p-adic-number-theory #valuation-theory #nonstandard-analysis
230
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Completing Algebraic Integers into Squares

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#number-theory #galois-theory #algebraic-number-theory #p-adic-number-theory #valuation-theory
234
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Invertible elements in a discrete valuation ring

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#abstract-algebra #ring-theory #inverse #valuation-theory #local-rings
100
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Valuation theory

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#abstract-algebra #commutative-algebra #valuation-theory
67
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Why does the image of $ord_p$ form an additive subgroup of $(1/n)\mathbb Z$?

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#group-theory #p-adic-number-theory #valuation-theory
65
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Norms, Orders, and 'almost' valuations in Number Fields

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#abstract-algebra #number-theory #elementary-number-theory #algebraic-number-theory #valuation-theory
288
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About the concept of a valuation ring

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#ring-theory #commutative-algebra #valuation-theory

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